Journal
ACTA MATERIALIA
Volume 61, Issue 19, Pages 7087-7097Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.actamat.2013.07.050
Keywords
Conducting cracks; Ferroelectricity; Fracture; Phase-field models; Finite element analysis
Funding
- Ministerio de Ciencia e Innovacion [DPI2011-26589]
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Ferroelectric ceramics are susceptible to fracture under high electric fields, which are commonly generated in the vicinity of electrodes or conducting layers. In the present work, we extend a phase-field model of fracture in ferroelectric single crystals to the simulation of the propagation of conducting cracks under purely electrical loading. This is done by introducing the electrical enthalpy of a diffuse conducting layer into the phase-field formulation. Simulation results show oblique crack propagation and crack branching from a conducting notch, forming a tree-like crack pattern in a ferroelectric sample under positive and negative electric fields. Microstructure evolution indicates the formation of tail-to-tail and head-to-head 90 degrees domains, which results in charge accumulation around the crack. The charge accumulation, in turn, induces a high electric field and hence a high electrostatic energy, further driving the conducting crack. Salient features of the results are compared with experiments. (C) 2013 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.
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